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Find the total of the areas under the standard normal curve to the left of 2₁ and to the right of z22. Round your answer to four decimal places, if necessary.2₁=-1.97, 2₂ = 1.97ARGUSEm TablesLE

Find the total of the areas under the standard normal curve to the left of 2₁ and-example-1
User Mrtedweb
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1 Answer

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Using a z-score table, find the probabilities below


\begin{gathered} P(-1.97>z) \\ and \\ P(1.97Furthermore,[tex]P(-1.97Then,[tex]\begin{gathered} A_(left)=P(z<-1.97)=0.0244 \\ and \\ A_(right)=P(z>1.97)=0.0244 \\ \end{gathered}

This is consistent with the fact that the normal distribution is symmetric about z=0.


\Rightarrow A=A_(left)+A_(right)=2*0.0244=0.0488

Thus, the total area is equal to 0.0488

User Ovilia
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